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Topological Classification of Integrable Systems
About this Title
A. T. Fomenko, Editor
Publication: ADVSOV
Publication Year:
1991; Volume 6
ISBNs: 978-0-8218-4105-1 (print); 978-1-4704-4553-9 (online)
DOI: https://doi.org/10.1090/advsov/006
MathSciNet review: MR1141218
MSC: Primary 58-06; Secondary 57-06, 58F07, 70E15, 70H05
Table of Contents
Front/Back Matter
Articles
- A. Fomenko – The theory of invariants of multidimensional integrable Hamiltonian systems (with arbitrary many degrees of freedom). Molecular table of all integrable systems with two degrees of freedom
- G. Okuneva – Integrable Hamiltonian systems in analytic dynamics and mathematical physics
- A. Oshemkov – Fomenko invariants for the main integrable cases of the rigid body motion equations
- A. Bolsinov – Methods of calculation of the Fomenko-Zieschang invariant
- L. Polyakova – Topological invariants for some algebraic analogs of the Toda lattice
- E. Selivanova – Topological classification of integrable Bott geodesic flows on the two-dimensional torus
- T. Nguyen – On the complexity of integrable Hamiltonian systems on three-dimensional isoenergy submanifolds
- V. Trofimov – Symplectic connections and Maslov-Arnold characteristic classes
- A. Fomenko and T. Nguyen – Topological classification of integrable nondegenerate Hamiltonians on the isoenergy three-dimensional sphere
- V. Kalashnikov, Jr. – Description of the structure of Fomenko invariants on the boundary and inside $Q$-domains, estimates of their number on the lower boundary for the manifolds $S^3$, $\Bbb R P^3$, $S^1\times S^2$, and $T^3$
- A. Fomenko – Theory of rough classification of integrable nondegenerate Hamiltonian differential equations on four-dimensional manifolds. Application to classical mechanics